anonymous
  • anonymous
dy/dx of cos(x+y)=x.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I came up with - (1+sin(x+y))/(sin(x+y)) but it doesn't really seem right? If you can help, please do. :)
anonymous
  • anonymous
\[\cos(x+y)=x\] \[\cos^{-1} x=x+y\] \[y=\cos^{-1} x-x\] \[dy/dx=(\cos^{-1} x-x)\prime\]
anonymous
  • anonymous
\[dy/dx=-1/\sqrt{1-x^2}-1\]

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anonymous
  • anonymous
i hope i am not doing any mistake...
anonymous
  • anonymous
if this is right, fan me plz.
anonymous
  • anonymous
You probably used implicit differentiation heist. If you did, then you'd get your answer (and I got the same thing). You could also check it here. http://www.wolframalpha.com/input/?i=derivative+of+cos%28x+%2B+y+%29+%3D+x eDadou, I'm not sure why your method doesn't give the same answer. I think it might have to do with taking the arccosine of both sides, since that then restricts the domain over which x can vary.
anonymous
  • anonymous
yeah probably.

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